For n not equal to -1, it is 1/(n+1)*xn+1 while for n = -1, it is ln(|x|), the logarithm to base e.
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integral of e to the power -x is -e to the power -x
Add 1 to the coefficient and divide by that term. int[f(X) by the power rule is this.......X(n + 1)/nint(6X)= 6/2(X2)= 3X2 + C--------------
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The integral of x cos(x) dx is cos(x) + x sin(x) + C
The integral of 2-x = 2x - (1/2)x2 + C.